`BookProof.HarmonicOscillator.harmonicOscOp_hermiteLp` (n : ℕ) : harmonicOscOp ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩ = ((harmonicSymbol n : ℂ)) • hermiteLp n

Proved

BookProof.HarmonicOscillator.harmonicOscOp_hermiteLp

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHarmonicOscillatorEsa.

BookProof.HarmonicOscillator.harmonicOscOp_hermiteLp (n : ℕ) : harmonicOscOp ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩ = ((harmonicSymbol n : ℂ)) • hermiteLp n

Formalization note: Lean 4 identifier BookProof.HarmonicOscillator.harmonicOscOp_hermiteLp.

Preamble

-- Generated from ChapterHarmonicOscillatorEsa.lean — theorem BookProof.HarmonicOscillator.harmonicOscOp_hermiteLp
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterHarmonicOscillatorEsa
import Definitions.Def_ChapterHermiteFunctions
import Theorems.Thm_BookProof_HermiteStrichartzQG_hermiteLp_mem_hermiteCore
open BookProof.HermiteCore
open BookProof.HarmonicOscillator



open MeasureTheory Polynomial BookProof.HermiteCore BookProof.HermiteStrichartzQG
open BookProof.FarisLavine

Formal statement

theorem BookProof.HarmonicOscillator.harmonicOscOp_hermiteLp (n : ℕ) :
    harmonicOscOp ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩
      = ((harmonicSymbol n : ℂ)) • hermiteLp n := by sorry

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